(G′/G)展开法与高维非线性物理方程的新分形结构  

(G′/G)-expansion method and novel fractal structures for high-dimensional nonlinear physical equation

作　　者：李帮庆[1] 马玉兰[1] 徐美萍[1] 

机构地区：[1]北京工商大学计算机与信息工程学院,北京100048

出　　处：《物理学报》2010年第3期1409-1415,共7页Acta Physica Sinica

基　　金：北京市教委科技发展计划面上项目(批准号:KM201010011008);北京市优秀骨干教师项目(批准号:PXM2007-014213-044566)资助的课题~~

摘　　要：将(G′/G)展开法扩展到研究高维非线性物理方程的非行波解和分形结构.以(2+1)维变系数色散长波系统为例,构造出该系统的非行波解,对解中的任意函数进行适当的设置,发现了一类新的分形结构,即十字形分形结构.The （G′/G）-expansion method is extended to construct non-traveling wave solutions and explore the fractal structure for high dimensional nonlinear physical equation. As an example, a series of non-traveling solutions is obtained for the （2＋1）-dimensional dispersive long wave system with variable co efficient. Furthermore, by setting properly the arbitrary functions in the solutions, a class of novel fractal structures, namely, the cross-like fractal structures are firstly observed.

关 键 词：(G′/G)展开法 (2+1)维变系数色散长波系统 非行波解 十字形分形结构 

分 类 号：O411.1[理学—理论物理]